Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
`        If a+2b=6 then find Maxima of ab and a²b. Pleaseget me solution I am eager to know this`
2 years ago

akhil
11 Points
```							this should be done by differentiating seperately i mean partial differention the other way is that to sub no other way than this the best way is partial differentiation
```
2 years ago
Yogesh Kumar
43 Points
```							a+2b=6For maximum value both of them should be equal.so, a=b for max. value3a=6, a=2=bSo max value of ab=3 x 3=9     and that of a2b=32 x 3=27
```
2 years ago
Yogesh Kumar
43 Points
```							sorry there is mistake in above answer. So here is the correct explanation for thisWe can apply AM>or=GM hereso for finding max value of ab(a+2b)/2>or=(2ab)1/232>or=2ababand for finding max value of a2bwe have write a+2b=a/2+a/2+2bnow (a/2+a/2+2b)/3>or=(a2b/2)1/323>or=a2b/2so a2b4 so max value of a2b is 24
```
2 years ago
Rohit
47 Points
```							 sorry there is mistake in above answer. So here is the correct explanation for thisWe can apply AM>or=GM hereso for finding max value of ab(a+2b)/2>or=(2ab)1/232>or=2ababand for finding max value of a2bwe have write a+2b=a/2+a/2+2bnow (a/2+a/2+2b)/3>or=(a2b/2)1/323>or=a2b/2so a2b4 so max value of a2b is 24sorry there is mistake in above answer. So here is the correct explanation for this
```
2 years ago
Rohit
47 Points
```							 sorry there is mistake in above answer. So here is the correct explanation for thisWe can apply AM>or=GM hereso for finding max value of ab(a+2b)/2>or=(2ab)1/232>or=2ababand for finding max value of a2bwe have write a+2b=a/2+a/2+2bnow (a/2+a/2+2b)/3>or=(a2b/2)1/323>or=a2b/2so a2b4 so max value of a2b is 24
```
2 years ago
Hashit Katiyar
12 Points
```							a +2b = 6 a = 6-2bNow,         ab= 6b-2b2For maxima and minima,         (d/db){6b-2b2} = 0                6-4b = 0then,        b = 3/2                d2/db2{6b-2b2} = -4     …....for all vlaues of d             Hence, ab is maximum for b = 3/2              ab = 9/2 for b = 3/2             Similarly, we can get a2b = 16.
```
2 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Algebra

View all Questions »

### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution

### Course Features

• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions